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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

Question 1 of 20 4,407 total questions

Question 641

waec 2013

In the diagram, O is the centre of the circle. OM||XZ and < ZOM = 25º. Calculate ∠XYZ

A50^o

B55^o

C60^o

D65^o

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Question 642

waec 2013

Find the value of m in the diagram

A34^o

B27^o

C23^o

D17^o

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Question 643

waec 2013

In the diagram, PQRS is a rhombus and < PSQ = 35º. Calculate the size of < PRQ

A65^o

B55^o

C45^o

D35^o

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Question 644

waec 2013

In the diagrams, |XZ| = |MN|, |ZY| = |MO| and |XY| = |NO|. Which of the following statements is true?

A\(\bigtriangleup\) ZYX = \(\bigtriangleup\) OMN

B\(\bigtriangleup\) YZX = \(\bigtriangleup\) NOM

C\(\bigtriangleup\) ZXY= \(\bigtriangleup\) MON

D\(\bigtriangleup\) XYZ= \(\bigtriangleup\) NOM

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Question 645

waec 2013

in the diagram, the height of a flagpole |TF| and the length of its shadow |FL| re in the ratio 6:8. Using k as a constant of proportionality, find the shortest distance between T and L

A7K units

B10K units

C12K units

D14k units

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Question 646

waec 2013

In the diagram, PRST is a square. If |PQ| = 24cm. |QR| = 10cm and < PQR = 90o, find the perimeter of the polygon PQRST.

A112cm

B98cm

C86cm

D84cm

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Question 647

waec 2013

An open cone with base radius 28cm and perpendicular height 96cm was stretched to form sector of a circle. calculate the arc of the sector (Take \(\pi = \frac{22}{7}\))

A8800cm²

B8448cm²

C4400cm²

D4224cm²

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Question 648

waec 2013

Given that (x + 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2) M, find M

A(x + 2)²

Bx(x + 2)

Cxv + 2

Dx² - x

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Question 649

waec 2013

The distance between two towns is 50km. It is represented on a map by 5cm. Find the scale used

A1: 1,000,000

B1: 500,000

C1: 100,000

D1: 10,000

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Question 650

waec 2013

The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole number, the volume of the cone. ( Take \(\pi = \frac{22}{7}\))

A48cm³

B47cm³

C38cm³

D12cm³

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Question 651

waec 2013

A pyramid has a rectangular base with dimensions 12m by 8m. If its height is 14m, calculate the volume

A322m³

B448m³

C632m²

D840m²

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Question 652

waec 2013

Given that P = x² + 4x - 2, Q = 2x - 1 and Q - p = 2, find x

A-2

B-1

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Question 653

waec 2013

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

A15

B12

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Question 654

waec 2013

Express \(\frac{2}{x + 3} - \frac{1}{x - 2}\) as a simple fraction

A\(\frac{x - 7}{x^2 + x - 6}\)

B\(\frac{x - 1}{x^2 + x - 6}\)

C\(\frac{x - 2}{x^2 + x - 6}\)

D\(\frac{x - 27}{x^2 + x - 6}\)

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Question 655

waec 2013

When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number

A11

B\(\frac{15}{2}\)

D\(\frac{5}{2}\)

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Question 656

waec 2013

What is the locus of the point X which moves relative to two fixed points P and M on a plane such that < PXM = 30^o

Athebisector of the straight line joining P and M

Ban arc of a circle with PM as a chord

Cthe bisector of angle PXM

Da circle centre X and radius PM

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Question 657

waec 2013

The graph of the relation y = x2 + 2x + k passes through the point (2, 0). Find the values of k

Azero

B-2

C-4

D-8

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Question 658

waec 2013

If y varies directly as the square root of (x + 1) and y = 6 when x = 3, find x when y = 9

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Question 659

waec 2013

Find the values of k in the equation 6k² = 5k + 6

A{\(\frac{-2}{3}, \frac{-3}{2}\)}

B{\(\frac{-2}{3}, \frac{3}{2}\)}

C{\(\frac{2}{3}, \frac{-3}{2}\)}

D{\(\frac{2}{3}, \frac{3}{2}\)}

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Question 660

waec 2013

If p = (y : 2y \(\geq\) 6) and Q = (y : y -3 \(\leq\) 4), where y is an integer, find p\(\cap\)Q

A{3, 4}

B{3, 7}

C{3, 4, 5, 6, 7}

D{4, 5, 6}

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